CF1296B.Food Buying

普及/提高-

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题目描述

Mishka wants to buy some food in the nearby shop. Initially, he has ss burles on his card.

Mishka can perform the following operation any number of times (possibly, zero): choose some positive integer number 1xs1 \le x \le s , buy food that costs exactly xx burles and obtain x10\lfloor\frac{x}{10}\rfloor burles as a cashback (in other words, Mishka spends xx burles and obtains x10\lfloor\frac{x}{10}\rfloor back). The operation ab\lfloor\frac{a}{b}\rfloor means aa divided by bb rounded down.

It is guaranteed that you can always buy some food that costs xx for any possible value of xx .

Your task is to say the maximum number of burles Mishka can spend if he buys food optimally.

For example, if Mishka has s=19s=19 burles then the maximum number of burles he can spend is 2121 . Firstly, he can spend x=10x=10 burles, obtain 11 burle as a cashback. Now he has s=10s=10 burles, so can spend x=10x=10 burles, obtain 11 burle as a cashback and spend it too.

You have to answer tt independent test cases.

输入格式

The first line of the input contains one integer tt ( 1t1041 \le t \le 10^4 ) — the number of test cases.

The next tt lines describe test cases. Each test case is given on a separate line and consists of one integer ss ( 1s1091 \le s \le 10^9 ) — the number of burles Mishka initially has.

输出格式

For each test case print the answer on it — the maximum number of burles Mishka can spend if he buys food optimally.

输入输出样例

  • 输入#1

    6
    1
    10
    19
    9876
    12345
    1000000000

    输出#1

    1
    11
    21
    10973
    13716
    1111111111
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